Class 9 Mathematics - Exploring Algebraic Identities - Factorisation Expert Quiz

Mathematics Exploring Algebraic Identities Factorisation Expert Class 9 Level 62

Level 62 • 4/50 questions • 25 seconds per question.

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This level needs 46 more active questions. Admin panel me same class, subject, difficulty aur level_no 62 par question add karein.
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Question 1/4 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

\( x^2+10x+25-4y^2 \) का गुणनखंड रूप क्या है?

What is the factor form of \( x^2+10x+25-4y^2 \)?

Explanation opens after your attempt
Correct Answer

A. ( (x+5+2y)(x+5-2y) )

Step 1

Concept

First identify (x-2+10x+25=(x+5)2). Then apply difference of squares to ( (x+5)2-(2y)2 ).

Step 2

Why this answer is correct

The correct answer is A. ( (x+5+2y)(x+5-2y) ). First identify (x-2+10x+25=(x+5)2). Then apply difference of squares to ( (x+5)2-(2y)2 ).

Step 3

Exam Tip

पहले (x-2+10x+25=(x+5)2) पहचानें। फिर ( (x+5)2-(2y)2 ) पर अंतर के वर्ग लगाएँ।

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Question 2/4 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

\( 9p^2-12pq+4q^2-16 \) का सही गुणनखंड रूप कौन सा है?

Which is the correct factor form of \( 9p^2-12pq+4q^2-16 \)?

Explanation opens after your attempt
Correct Answer

B. ( (3p-2q+4)(3p-2q-4) )

Step 1

Concept

First (9p-2-12pq+4q-2=(3p-2q)2). Then factor ( (3p-2q)2-42 ).

Step 2

Why this answer is correct

The correct answer is B. ( (3p-2q+4)(3p-2q-4) ). First (9p-2-12pq+4q-2=(3p-2q)2). Then factor ( (3p-2q)2-42 ).

Step 3

Exam Tip

पहले (9p-2-12pq+4q-2=(3p-2q)2) है। फिर ( (3p-2q)2-42 ) का गुणनखंड करें।

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Question 3/4 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

( \(x^2+1\)2-x-4 ) का सरल गुणनखंड रूप क्या है?

What is the simplified factor form of ( \(x^2+1\)2-x-4 )?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+1\)

Step 1

Concept

Difference of squares gives ( \(x^2+1+x^2\)\(x^2+1-x^2\)=2x-2+1 ). Exam tip: simplify at the end.

Step 2

Why this answer is correct

The correct answer is A. \(2x^2+1\). Difference of squares gives ( \(x^2+1+x^2\)\(x^2+1-x^2\)=2x-2+1 ). Exam tip: simplify at the end.

Step 3

Exam Tip

अंतर के वर्ग से ( \(x^2+1+x^2\)\(x^2+1-x^2\)=2x-2+1 ) मिलता है। परीक्षा में अंत में सरल करें।

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Question 4/4 Expert Mathematics Exploring Algebraic Identities Algebraic identities Class 9 Level 62

\( x^4-81 \) का गुणनखंड रूप पहचान के अनुसार कौन सा है?

According to identities, what is the factor form of \( x^4-81 \)?

Explanation opens after your attempt
Correct Answer

A. ( \(x^2+9\)(x+3)(x-3) )

Step 1

Concept

(x-4-81=\(x^2\)2-92). First get ( \(x^2+9\)\(x^2-9\) ), then (x-2-9=(x+3)(x-3)).

Step 2

Why this answer is correct

The correct answer is A. ( \(x^2+9\)(x+3)(x-3) ). (x-4-81=\(x^2\)2-92). First get ( \(x^2+9\)\(x^2-9\) ), then (x-2-9=(x+3)(x-3)).

Step 3

Exam Tip

(x-4-81=\(x^2\)2-92) है। पहले ( \(x^2+9\)\(x^2-9\) ), फिर (x-2-9=(x+3)(x-3)) करें।

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